If ΔABC≅ΔADC, which is true by CPCTC?

Mais family drinks a total of 10 gallons of milk every 6 weeks. How many gallons of milk does the family drink per week? How man

tino4ka555 [31]

Answer:

they drink 1.667 gallons a week. it takes about 6.5 days to drink a whole gallon

Step-by-step explanation:

take 10/6 to get 1.667 then how many days would it take to drink 1 whole gallon

7 0

4 years ago

A construction worker needs to put a rectangular window in the side of a building. He knows from measuring that the top and bott

Sliva [168]

Answer: 5 feet

Step-by-step explanation: A rectangle is a quadrilateral with 4 sides. The opposite sides are parallel and have the same length.

Top and bottom of the window are opposite, so they have the same measure of 3 feet.

One length of the window is 5 feet. Since the last side is opposite to the length of the window, it has the same length, i.e., its value is 5 feet.

7 0

3 years ago

You are competing in a race. The table shows the times from last year's race. You want your time to be last year's median time w

olasank [31]

Answer:

28 ≤ x ≤40

Step-by-step explanation:

Arrange the data from the smallest to the largest

26, 27, 28,32, 32, 33, 35, 36, 38, 40,42,48

Identify the median value

26, 27, 28,32, 32,<u> 33, 35</u>, 36, 38, 40,42,48

Getting the median

(33+35)/2 = 68/2 = 34 minutes

You want your time to be last year's median time with an absolute deviation of at most 6 minutes

This mean ±6 minutes, hence this will be 34 ± 6

34+6=40 and 34-6=28

The inequality will be 28 ≤ x ≤40

7 0

3 years ago

Read 2 more answers

Q(-2, 3) and P (2, 1)<br> Find the length of the segment. Simplify each radical,if possible

Montano1993 [528]

9514 1404 393

Answer:

2√5

Step-by-step explanation:

The distance formula is useful for this.

d = √((x2 -x1)² +(y2 -y1)²)

d = √((2 -(-2))² +(1 -3)²) = √(4² +(-2)²) = √20

d = 2√5

The length of segment PQ is 2√5.

7 0

2 years ago

Two isosceles triangles have the same base length. the legs of one of the triangles are twice as long as the legs of the other.

Makovka662 [10]

An isosceles triangle is a type of triangle where 2 sides are equal.

Picture out 2 triangles with the same base length.
On the first triangle, its legs are twice the length of the legs of the second triangle.

To put it into variables, let:
B = the same base length of the two triangles
A = the length of one leg the smaller triangle
2A = the length of one leg of the bigger triangle

Given: Perimeter of smaller triangle = 23cm
Perimeter of bigger triangle = 43cm

Recall the formula for solving the perimeter of a triangle:
Perimeter = A + B + C

where, A, B, and C are the legs of the triangle

Since the triangle involved is an isosceles triangle, therefore, we can say that
Perimeter = 2A + B , 2 legs are equal ( A=C )

Substituting the given perimeter value to the formula.

23cm = 2A + B ⇒ equation 1 (smaller triangle)
43cm = 2(2A) + B ⇒ equation 2 (bigger triangle)

Simplifying equation 2.
43cm = 4A + B
(rearranging) B = 43cm - 4A ⇒ equation 3

Substituting equation 3 to equation 1:
(equation 1) 23cm = 2A + B
23cm = 2A + (43cm - 4A)
23cm = -2A + 43cm
2A = 43cm - 23cm
2A = 20cm ⇒ length of the leg of the bigger triangle
A = 10cm ⇒ length of the leg of the smaller triangle

To solve for the base length, just substitute the value of A to equation 3
(equation 3) B = 43cm - 4A
B = 43cm - 4(10cm)
B = 3 cm

Final Answer:

• For the smaller triangle, the length of the sides are 10cm, 10cm, and 3cm
• For the bigger triangle, the length of the sides are 20cm, 20cm, and 3cm

8 0

3 years ago